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Watch the fourth lecture in a graduate-level course on Markov Chains delivered in Portuguese by Professor Milton Jara at the Instituto de Matemática Pura e Aplicada (IMPA) during the 2025 Summer School. Learn advanced concepts based on the textbook "Markov Chains and Mixing Times" by Levin, Peres, and Wilmer. Prerequisites include familiarity with elementary probability concepts (equivalent to Chapter 1 of Barry James' "Probability: An Intermediate Level Course") and basic knowledge of linear algebra. The course is structured in two parts: the first month covers fundamental Markov Chain concepts from the early chapters, while the second part explores selected topics and recent research applications. Access additional course materials and updates through IMPA's social media channels, with all content protected under IMPA's intellectual property rights.
